Find each limit if it exists sinx x1 ex1 1 b lim 2 x1

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Unformatted text preview: x2 1 √ dx 4 − x2 1 dx 4 − x2 0 ∞ 1 √ dx 3 x −∞ 2. Find each limit, (if it exists). sin(πx) x−1 ex−1 − 1 (b) lim 2 x→1 x − 1 ln x (c) lim √ x→∞ x (a) lim x→1 1 x (d) lim x sin x→∞ (e) lim x→0 x sin x cos x − 1 x2 + 1 − x (f) lim x→∞ (g) lim x→0 sin x cos x (h) lim x→∞ 1 x 1 x 1 (i) lim (cos x) x x→0+ 3. Use a comparison to determine whether the following integrals converge or diverge: ∞ (a) (b) (c) (d) x dx 1 + x3 1 2 + sin x √ dx x ∞ x dx 3 2 −1 x 2 ∞ sin2 x dx 1 + ex 0...
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This document was uploaded on 03/11/2014 for the course MATH 262 at Minnesota State University Moorhead .

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